Answer:
173.15 ft.
Step-by-step explanation:
Please find the attachment.
Let L be the length of kite.
We have been given that a kite is stuck in 36-ft tree. The angle of elevation from the kite and the ground is 12.
We can see from our attachment that kite and tree form a right triangle. height of tree is opposite of angle of elevation and length of kite is hypotenuse.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use sine to find the length of kite.
[tex]sin(12)=\frac{36}{L}[/tex]
[tex]L=\frac{36}{sin(12)}[/tex]
[tex]L=\frac{36}{0.207911690818}[/tex]
[tex]L=173.1504364105882792\approx 173.15[/tex]
Therefore, the length of kite is 173.15 ft.
